Answer:
57 cm²
Explanation
l = length
w = width
p = perimeter
(5x - 1) = length
(11 - 2x) = width
44 = perimeter
Formula for the perimeter of a rectangle:
l + l + w + w
2l + 2w = p
Substitute the variables for the length and width with the values given to you by the problem, then solve.
2(5x - 1) + 2(11 - 2x) = 44
(10x - 2) + (22 - 4x) = 44 (Distributive property)
6x + 20 = 44
6x = 24
x = 4
Plug x = 4 back into the length and width.
Length = (5x - 1), (5(4) - 1), (19)
Width = (11 - 2x), (11 - 2(4)), (3)
Area for a rectangle: Length × Width = Area.
19 × 3 = 57 cm²
This is all in cm so answer with cm²